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          markdown中的数学公式语法
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        <h4 id="上标和下标"><a href="#上标和下标" class="headerlink" title="上标和下标"></a>上标和下标</h4><p>使用 <code>^</code> 表示上标，使用 <code>_</code> 表示下标，如果上下标的内容多于一个字符，可以使用<strong>大括号</strong>括起来：</p>
<p>如 </p>
<figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$f(x) = a_1x^n + a_2x^{n-1} + a_3x^{n-2}$</span><br></pre></td></tr></table></figure>
<p>显示效果为</p>
<script type="math/tex; mode=display">
f(x) = a_1x^n + a_2x^{n-1} + a_3x^{n-2}</script><p>如果左右两边都有上下标，可以使用 <code>\sideset</code> 语法。</p>
<p>如 </p>
<figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$\sideset{^n_k}{^x_y}a$</span><br></pre></td></tr></table></figure>
<p>显示效果为：</p>
<script type="math/tex; mode=display">
\sideset {^n_k}{^x_y}a</script><span id="more"></span>
<h4 id="括号"><a href="#括号" class="headerlink" title="括号"></a>括号</h4><p>在 <code>markdown</code> 语法中，<code>$ { } _</code> 都是有特殊含义的，所以需要加 <code>\</code> 进行转义。小括号与方括号可以使用原始的 <code>(), []</code>。大括号需要使用 <code>\</code> 转义，也可以使用 <code>\lbrace</code> 和 <code>\rbrace</code>。</p>
<p>如</p>
<figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br></pre></td><td class="code"><pre><span class="line">\{x*y\}</span><br><span class="line">\lbrace x*y \rblace</span><br></pre></td></tr></table></figure>
<p>显示效果为 <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.802ex" height="2.262ex" role="img" focusable="false" viewbox="0 -750 3006.4 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="7B" d="M434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231Z"/></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"/></g><g data-mml-node="mo" transform="translate(1294.2,0)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"/></g><g data-mml-node="mi" transform="translate(2016.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"/></g><g data-mml-node="mo" transform="translate(2506.4,0)"><path data-c="7D" d="M65 731Q65 745 68 747T88 750Q171 750 216 725T279 670Q288 649 289 635T291 501Q292 362 293 357Q306 312 345 291T417 269Q428 269 431 266T434 250T431 234T417 231Q380 231 345 210T298 157Q293 143 292 121T291 -28V-79Q291 -134 285 -156T256 -198Q202 -250 89 -250Q71 -250 68 -247T65 -230Q65 -224 65 -223T66 -218T69 -214T77 -213Q91 -213 108 -210T146 -200T183 -177T207 -139Q208 -134 209 3L210 139Q223 196 280 230Q315 247 330 250Q305 257 280 270Q225 304 212 352L210 362L209 498Q208 635 207 640Q195 680 154 696T77 713Q68 713 67 716T65 731Z"/></g></g></g></svg></mjx-container>。</p>
<p><strong>原始符号不会随着公式大小自动缩放，需要使用 <code>/left</code> 和 <code>/right</code> 来实现自动缩放。</strong></p>
<figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$$\left \lbrace \sum_{i=0}^n i^3 = \frac{(n^2+n)(n+6)}{9} \right \rbrace$$</span><br></pre></td></tr></table></figure>
<p>效果为：</p>
<script type="math/tex; mode=display">
\left \lbrace \sum_{i=0}^n i^3 = \frac{(n^2+n)(n+6)}{9} \right \rbrace</script><p>不使用 <code>\left</code> 和 <code>\right</code>的效果如下：</p>
<script type="math/tex; mode=display">
\lbrace \sum_{i=0}^n i^3 = \frac{(n^2+n)(n+6)}{9}  \rbrace</script><h4 id="分数与开方"><a href="#分数与开方" class="headerlink" title="分数与开方"></a>分数与开方</h4><h5 id="可以使用-frac-或-over-实现分数的显示："><a href="#可以使用-frac-或-over-实现分数的显示：" class="headerlink" title="可以使用 \frac 或 \over 实现分数的显示："></a>可以使用 <code>\frac</code> 或 <code>\over</code> 实现分数的显示：</h5><figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br></pre></td><td class="code"><pre><span class="line">$\frac xy$</span><br><span class="line">$x + 3 \over y + 5$</span><br></pre></td></tr></table></figure>
<p>分别显示为：<mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.108ex;" xmlns="http://www.w3.org/2000/svg" width="1.911ex" height="2.707ex" role="img" focusable="false" viewbox="0 -706.5 844.5 1196.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mfrac"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"/></g><g data-mml-node="mi" transform="translate(249,-345) scale(0.707)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"/></g><rect width="604.5" height="60" x="120" y="220"/></g></g></g></svg></mjx-container> 和 <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.108ex;" xmlns="http://www.w3.org/2000/svg" width="3.955ex" height="3.073ex" role="img" focusable="false" viewbox="0 -868.2 1748.1 1358.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mfrac"><g data-mml-node="mrow" transform="translate(220,398) scale(0.707)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"/></g><g data-mml-node="mo" transform="translate(572,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"/></g><g data-mml-node="mn" transform="translate(1350,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"/></g></g><g data-mml-node="mrow" transform="translate(249,-345) scale(0.707)"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"/></g><g data-mml-node="mo" transform="translate(490,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"/></g><g data-mml-node="mn" transform="translate(1268,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"/></g></g><rect width="1508.1" height="60" x="120" y="220"/></g></g></g></svg></mjx-container> 。</p>
<h5 id="开方使用-sqrt"><a href="#开方使用-sqrt" class="headerlink" title="开方使用 \sqrt:"></a>开方使用 <code>\sqrt</code>:</h5><figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br></pre></td><td class="code"><pre><span class="line">$ \sqrt {x ^ 5}$</span><br><span class="line">$ \sqrt [3] {\frac xy}$</span><br></pre></td></tr></table></figure>
<p>分别显示为 <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.131ex;" xmlns="http://www.w3.org/2000/svg" width="4.212ex" height="2.398ex" role="img" focusable="false" viewbox="0 -1002 1861.6 1060"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msqrt"><g transform="translate(853,0)"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"/></g><g data-mml-node="mn" transform="translate(605,289) scale(0.707)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"/></g></g></g><g data-mml-node="mo" transform="translate(0,142)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"/></g><rect width="1008.6" height="60" x="853" y="882"/></g></g></g></svg></mjx-container> 和 <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.638ex;" xmlns="http://www.w3.org/2000/svg" width="4.218ex" height="4.208ex" role="img" focusable="false" viewbox="0 -1135.8 1864.5 1860"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mroot"><g><g data-mml-node="mfrac" transform="translate(1020,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"/></g><g data-mml-node="mi" transform="translate(249,-345) scale(0.707)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"/></g><rect width="604.5" height="60" x="120" y="220"/></g></g><g data-mml-node="mn" transform="translate(362,276.8) scale(0.5)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"/></g><g data-mml-node="mo" transform="translate(0,-74.2)"><path data-c="221A" d="M1001 1150Q1017 1150 1020 1132Q1020 1127 741 244L460 -643Q453 -650 436 -650H424Q423 -647 423 -645T421 -640T419 -631T415 -617T408 -594T399 -560T385 -512T367 -448T343 -364T312 -259L203 119L138 41L111 67L212 188L264 248L472 -474L983 1140Q988 1150 1001 1150Z"/></g><rect width="844.5" height="60" x="1020" y="1015.8"/></g></g></g></svg></mjx-container> 。</p>
<h4 id="求和与积分"><a href="#求和与积分" class="headerlink" title="求和与积分"></a>求和与积分</h4><h5 id="求和使用-sum，可以加上下标"><a href="#求和使用-sum，可以加上下标" class="headerlink" title="求和使用 \sum，可以加上下标"></a>求和使用 <code>\sum</code>，可以加上下标</h5><figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$ \sum_{i=0}^n$</span><br></pre></td></tr></table></figure>
<p>显示为 <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.777ex;" xmlns="http://www.w3.org/2000/svg" width="5.173ex" height="2.563ex" role="img" focusable="false" viewbox="0 -789.6 2286.6 1132.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="munderover"><g data-mml-node="mo"><path data-c="2211" d="M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z"/></g><g data-mml-node="mi" transform="translate(1089,477.1) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"/></g><g data-mml-node="TeXAtom" transform="translate(1089,-285.4) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"/></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"/></g><g data-mml-node="mn" transform="translate(1123,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"/></g></g></g></g></g></svg></mjx-container>。</p>
<h5 id="积分使用-int，可加上下限，双重积分用-iint"><a href="#积分使用-int，可加上下限，双重积分用-iint" class="headerlink" title="积分使用 \int，可加上下限，双重积分用 \iint"></a>积分使用 <code>\int</code>，可加上下限，双重积分用 <code>\iint</code></h5><figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br></pre></td><td class="code"><pre><span class="line">$ \int_1^\infty $</span><br><span class="line">$ \iint_1^\infty $</span><br></pre></td></tr></table></figure>
<p>分别显示为 <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.771ex;" xmlns="http://www.w3.org/2000/svg" width="3.296ex" height="2.683ex" role="img" focusable="false" viewbox="0 -845.1 1457 1186"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mo" transform="translate(0 0.5)"><path data-c="222B" d="M113 -244Q113 -246 119 -251T139 -263T167 -269Q186 -269 199 -260Q220 -247 232 -218T251 -133T262 -15T276 155T297 367Q300 390 305 438T314 512T325 580T340 647T361 703T390 751T428 784T479 804Q481 804 488 804T501 805Q552 802 581 769T610 695Q610 669 594 657T561 645Q542 645 527 658T512 694Q512 705 516 714T526 729T538 737T548 742L552 743Q552 745 545 751T525 762T498 768Q475 768 460 756T434 716T418 652T407 559T398 444T387 300T369 133Q349 -38 337 -102T303 -207Q256 -306 169 -306Q119 -306 87 -272T55 -196Q55 -170 71 -158T104 -146Q123 -146 138 -159T153 -195Q153 -206 149 -215T139 -230T127 -238T117 -242L113 -244Z"/></g><g data-mml-node="mi" transform="translate(699.9,532.6) scale(0.707)"><path data-c="221E" d="M55 217Q55 305 111 373T254 442Q342 442 419 381Q457 350 493 303L507 284L514 294Q618 442 747 442Q833 442 888 374T944 214Q944 128 889 59T743 -11Q657 -11 580 50Q542 81 506 128L492 147L485 137Q381 -11 252 -11Q166 -11 111 57T55 217ZM907 217Q907 285 869 341T761 397Q740 397 720 392T682 378T648 359T619 335T594 310T574 285T559 263T548 246L543 238L574 198Q605 158 622 138T664 94T714 61T765 51Q827 51 867 100T907 217ZM92 214Q92 145 131 89T239 33Q357 33 456 193L425 233Q364 312 334 337Q285 380 233 380Q171 380 132 331T92 214Z"/></g><g data-mml-node="mn" transform="translate(505,-340.9) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"/></g></g></g></g></svg></mjx-container> 和 <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.771ex;" xmlns="http://www.w3.org/2000/svg" width="4.081ex" height="2.683ex" role="img" focusable="false" viewbox="0 -845.1 1804 1186"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mo" transform="translate(0 0.5)"><path data-c="222C" d="M113 -244Q113 -246 119 -251T139 -263T167 -269Q186 -269 199 -260Q220 -247 232 -218T251 -133T262 -15T276 155T297 367Q300 390 305 438T314 512T325 580T340 647T361 703T390 751T428 784T479 804Q481 804 488 804T501 805Q552 802 581 769T610 695Q610 669 594 657T561 645Q542 645 527 658T512 694Q512 705 516 714T526 729T538 737T548 742L552 743Q552 745 545 751T525 762T498 768Q475 768 460 756T434 716T418 652T407 559T398 444T387 300T369 133Q349 -38 337 -102T303 -207Q256 -306 169 -306Q119 -306 87 -272T55 -196Q55 -170 71 -158T104 -146Q123 -146 138 -159T153 -195Q153 -206 149 -215T139 -230T127 -238T117 -242L113 -244ZM460 -244Q460 -246 466 -251T486 -263T514 -269Q532 -269 546 -260Q567 -247 579 -218T598 -133T609 -15T623 155T644 367Q647 390 652 438T661 512T672 580T687 647T708 703T737 751T775 784T826 804Q828 804 835 804T848 805Q899 802 928 769T957 695Q957 669 941 657T908 645Q889 645 874 658T859 694Q859 705 863 714T873 729T885 737T895 742L899 743Q899 745 892 751T872 762T845 768Q822 768 807 756T781 716T765 652T754 559T745 444T734 300T716 133Q696 -38 684 -102T650 -207Q603 -306 516 -306Q466 -306 434 -272T402 -196Q402 -170 418 -158T451 -146Q470 -146 485 -159T500 -195Q500 -206 496 -215T486 -230T474 -238T464 -242L460 -244Z"/></g><g data-mml-node="mi" transform="translate(1046.9,532.6) scale(0.707)"><path data-c="221E" d="M55 217Q55 305 111 373T254 442Q342 442 419 381Q457 350 493 303L507 284L514 294Q618 442 747 442Q833 442 888 374T944 214Q944 128 889 59T743 -11Q657 -11 580 50Q542 81 506 128L492 147L485 137Q381 -11 252 -11Q166 -11 111 57T55 217ZM907 217Q907 285 869 341T761 397Q740 397 720 392T682 378T648 359T619 335T594 310T574 285T559 263T548 246L543 238L574 198Q605 158 622 138T664 94T714 61T765 51Q827 51 867 100T907 217ZM92 214Q92 145 131 89T239 33Q357 33 456 193L425 233Q364 312 334 337Q285 380 233 380Q171 380 132 331T92 214Z"/></g><g data-mml-node="mn" transform="translate(852,-340.9) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"/></g></g></g></g></svg></mjx-container>。</p>
<h4 id="极限"><a href="#极限" class="headerlink" title="极限"></a>极限</h4><p>极限使用 <code>\lim</code></p>
<figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$ \lim_{x \to 0} $</span><br></pre></td></tr></table></figure>
<p>显示为 <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="6.645ex" height="1.945ex" role="img" focusable="false" viewbox="0 -694 2937.1 859.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="munder"><g data-mml-node="mo"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"/><path data-c="69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" transform="translate(278,0)"/><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" transform="translate(556,0)"/></g><g data-mml-node="TeXAtom" transform="translate(1422,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"/></g><g data-mml-node="mo" transform="translate(572,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"/></g><g data-mml-node="mn" transform="translate(1572,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"/></g></g></g></g></g></svg></mjx-container>。</p>
<h4 id="表格和矩阵"><a href="#表格和矩阵" class="headerlink" title="表格和矩阵"></a>表格和矩阵</h4><p>表格样式 <code>lcr</code> 表示居中，<code>|</code> 表示加入一条竖线，<code>\hline</code> 表示行间横线，列之间用 <code>&amp;</code> 分隔，行之间用 <code>\</code> 分隔。</p>
<figure class="highlight plaintext"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br></pre></td><td class="code"><pre><span class="line">$$</span><br><span class="line">\begin{array}{c|lcr}</span><br><span class="line">n &amp; \text{Left} &amp; \text{Center} &amp; \text{Right} \\\\</span><br><span class="line">\hline</span><br><span class="line">1 &amp; 1.97 &amp; 5 &amp; 12 \\\\</span><br><span class="line">2 &amp; -11 &amp; 19 &amp; -80 \\\\</span><br><span class="line">3 &amp; 70 &amp; 209 &amp; 1+i \\\\</span><br><span class="line">\end{array}</span><br><span class="line">$$</span><br></pre></td></tr></table></figure>
<p>显示效果为:</p>
<script type="math/tex; mode=display">
\begin{array}{c|lcr}
n & \text{Left} & \text{Center} & \text{Right} \\\\
\hline
1 & 1.97 & 5 & 12 \\\\
2 & -11 & 19 & -80 \\\\
3 & 70 & 209 & 1+i \\\\
\end{array}</script><h4 id="常用数学符号"><a href="#常用数学符号" class="headerlink" title="常用数学符号"></a>常用数学符号</h4><p><img src="http://localhost:4000/2021/03/01/markdown%E4%B8%AD%E7%9A%84%E6%95%B0%E5%AD%A6%E5%85%AC%E5%BC%8F%E8%AF%AD%E6%B3%95/001.png" alt></p>
<h4 id="三角函数"><a href="#三角函数" class="headerlink" title="三角函数"></a>三角函数</h4><p><img src="http://localhost:4000/2021/03/01/markdown%E4%B8%AD%E7%9A%84%E6%95%B0%E5%AD%A6%E5%85%AC%E5%BC%8F%E8%AF%AD%E6%B3%95/002.png" alt></p>
<h4 id="对数函数"><a href="#对数函数" class="headerlink" title="对数函数"></a>对数函数</h4><p><img src="http://localhost:4000/2021/03/01/markdown%E4%B8%AD%E7%9A%84%E6%95%B0%E5%AD%A6%E5%85%AC%E5%BC%8F%E8%AF%AD%E6%B3%95/003.png" alt></p>
<h4 id="关系运算符"><a href="#关系运算符" class="headerlink" title="关系运算符"></a>关系运算符</h4><p><img src="http://localhost:4000/2021/03/01/markdown%E4%B8%AD%E7%9A%84%E6%95%B0%E5%AD%A6%E5%85%AC%E5%BC%8F%E8%AF%AD%E6%B3%95/004.png" alt></p>
<h4 id="希腊字母"><a href="#希腊字母" class="headerlink" title="希腊字母"></a>希腊字母</h4><p><img src="http://localhost:4000/2021/03/01/markdown%E4%B8%AD%E7%9A%84%E6%95%B0%E5%AD%A6%E5%85%AC%E5%BC%8F%E8%AF%AD%E6%B3%95/005.png" alt></p>
<h4 id="其他符号"><a href="#其他符号" class="headerlink" title="其他符号"></a>其他符号</h4><p>±± ：\pm<br>×× ：\times<br>÷÷：\div<br>∣∣：\mid</p>
<p>⋅⋅：\cdot<br>∘∘：\circ<br>∗∗: \ast<br>⨀⨀：\bigodot<br>⨂⨂：\bigotimes<br>⨁⨁：\bigoplus<br>≤≤：\leq<br>≥≥：\geq<br>≠≠：\neq<br>≈≈：\approx<br>≡≡：\equiv<br>∑∑：\sum<br>∏∏：\prod<br>∐∐：\coprod</p>
<p>集合运算符：<br>∅∅：\emptyset<br>∈∈：\in<br>∉∉：\notin<br>⊂⊂：\subset<br>⊃⊃ ：\supset<br>⊆⊆ ：\subseteq<br>⊇⊇ ：\supseteq<br>⋂⋂ ：\bigcap<br>⋃⋃ ：\bigcup<br>⋁⋁ ：\bigvee<br>⋀⋀ ：\bigwedge<br>⨄⨄ ：\biguplus<br>⨆⨆：\bigsqcup</p>
<p>对数运算符：<br>loglog ：\log<br>lglg ：\lg<br>lnln ：\ln</p>
<p>三角运算符：<br>⊥⊥：\bot<br>∠∠：\angle<br>30∘30∘：30^\circ<br>sinsin ：\sin<br>coscos ：\cos<br>tantan ：\tan<br>cotcot ：\cot<br>secsec ：\sec<br>csccsc ：\csc</p>
<p>微积分运算符：<br>y′xy′x：\prime<br>∫∫：\int<br>∬∬ ：\iint<br>∭∭ ：\iiint<br>∬∬⨌：\iiiint<br>∮∮ ：\oint<br>limlim ：\lim<br>∞∞ ：\infty<br>∇∇：\nabla</p>
<p>逻辑运算符：<br>∵∵：\because<br>∴∴ ：\therefore<br>∀∀ ：\forall<br>∃∃ ：\exists<br>≠≠ ：\not=<br>≯≯：\not&gt;<br>⊄⊄：\not\subset</p>
<p>戴帽符号：<br>y^y^ ：\hat{y}<br>yˇyˇ ：\check{y}<br>y˘y˘ ：\breve{y}</p>
<p>连线符号：<br>a+b+c+d¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯a+b+c+d¯：\overline{a+b+c+d}<br>a+b+c+d–––––––––––––a+b+c+d_ ：\underline{a+b+c+d}<br>a+b+c1.0+d2.0a+b+c⏟1.0+d⏞2.0：\overbrace{a+\underbrace{b+c}_{1.0}+d}^{2.0}</p>
<p>箭头符号：<br>↑↑：\uparrow<br>↓↓：\downarrow<br>⇑⇑ ：\Uparrow<br>⇓⇓：\Downarrow<br>→→：\rightarrow<br>←← ：\leftarrow<br>⇒⇒ ：\Rightarrow<br>⇐⇐ ：\Leftarrow<br>⟶⟶ ：\longrightarrow<br>⟵⟵ ：\longleftarrow<br>⟹⟹：\Longrightarrow<br>⟸⟸ ：\Longleftarrow</p>

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